On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity
Number Theory
2021-01-12 v1 Combinatorics
Abstract
We mainly answer two open questions about finite multiple harmonic -series on 3-2-1 indices at roots of unity, posed recently by H. Bachmann, Y. Takeyama, and K. Tasaka. Two conjectures regarding cyclic sums which generalize the given results are also provided.
Cite
@article{arxiv.2101.03576,
title = {On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity},
author = {Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood and Roberto Tauraso},
journal= {arXiv preprint arXiv:2101.03576},
year = {2021}
}
Comments
6 pages